lec06-sets - EECS 203 Winter 2007 Discrete Mathematics...

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EECS 203, Winter 2007 Discrete Mathematics Lecture 6 Sets and Set operations January 23 Reading: Rosen [2.1-2.2] January 23 Sets and Set operations, Page 1
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6.1 Sets A set is an unordered collection of objects. An object a that belongs to a set A is called an element of A , written a A . The size of a set A is the number of objects it contains, and is denoted by | A | . Example: Empty set . January 23 Sets and Set operations, Page 2
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6.2 How to make new sets Let A and B be two sets The union A B = { x : x A x B } ; The intersection A B = { x : x A x B } ; The difference A - B = { x : x A x B } . If a set U is designated as the universal set , the complement of a subset A U is ¯ A = U - A . The power set of A is 2 A = { B : B A } . The symmetric difference A B = ( A - B ) ( B - A ). January 23 Sets and Set operations, Page 3
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6.3 Relations between sets Let A and B be two sets A and B are equal if they have the same elements.
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